المؤلفون: Adela O. Mostafa, M. K. Aouf

المصدر: Afrika Matematika. 32:1323-1331

مصطلحات موضوعية: Pure mathematics, Class (set theory), Operator (computer programming), Mathematics::Complex Variables, General Mathematics, Harmonic (mathematics), Subclass, Mathematics

الوصف: In this paper, using $$q-$$ difference operator, we define a class of harmonic univalent functions and obtain various properties for it.

الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_________::2b8af0aae72b4569add0b047fd5219c4Test
https://doi.org/10.1007/s13370-021-00901-wTest

المؤلفون: Dang Tuyen Nguyen, Duc Thoan Pham

المصدر: Bulletin of the Malaysian Mathematical Sciences Society. 44:3541-3551

مصطلحات موضوعية: Pointwise, Pure mathematics, Weight function, General Mathematics, 010102 general mathematics, Poincaré inequality, Harmonic (mathematics), Curvature, 01 natural sciences, 010101 applied mathematics, symbols.namesake, Bounded function, symbols, Mathematics::Differential Geometry, 0101 mathematics, Scalar curvature, Mathematics

الوصف: In this paper, we give some vanishing theorems for harmonic p-forms on complete noncompact Riemannian manifolds satisfying a weighted p-Poincare inequality with nonnegative scalar curvature and under pointwise curvature pinching conditions which are bounded from above by the weight function.

الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_________::a7a8e4639d4bbc2b4d8b73741532d02eTest
https://doi.org/10.1007/s40840-021-01131-wTest

المؤلفون: Michael Goldman, Martin Huesmann, Felix Otto

المصدر: Communications on Pure and Applied Mathematics. 74:2483-2560

مصطلحات موضوعية: Lebesgue measure, Applied Mathematics, General Mathematics, 010102 general mathematics, Mathematical analysis, Monge–Ampère equation, Harmonic (mathematics), Coupling (probability), 01 natural sciences, Measure (mathematics), Displacement (vector), 010104 statistics & probability, Linearization, 0101 mathematics, Poisson's equation, Mathematics

الوصف: This paper is about quantitative linearization results for the Monge-Ampere equation with rough data. We develop a large-scale regularity theory and prove that if a measure µ is close to the Lebesgue measure in Wasserstein distance at all scales, then the displacement of the macroscopic optimal coupling is quantitatively close at all scales to the gradient of the solution of the corresponding Poisson equation. The main ingredient we use is a harmonic approximation result for the optimal transport plan between arbitrary measures. This is used in a Campanato iteration which transfers the information through the scales.

الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_________::890437dc10ba12f90322e469dd33f34dTest
https://doi.org/10.1002/cpa.21994Test

المؤلفون: M. M. A. Ahmed, N. H. Gerish, M. Abu-Shady

المصدر: Physics of Particles and Nuclei Letters. 18:294-301

مصطلحات موضوعية: Physics, Nuclear and High Energy Physics, Radiation, Magnetic moment, 010308 nuclear & particles physics, Quark model, Harmonic (mathematics), Eigenfunction, 01 natural sciences, Atomic and Molecular Physics, and Optics, Schrödinger equation, Baryon, symbols.namesake, Quantum electrodynamics, 0103 physical sciences, symbols, Radiology, Nuclear Medicine and imaging, 010306 general physics, Energy (signal processing), Eigenvalues and eigenvectors

الوصف: Using the extended Nikiforov Uvarov method, the potential model as an algorithm, the harmonic and linear functions is employed for solving the hyper-radial Schrodinger equation. The eigenvalue energy and eigenfunction are obtained. The masses, the magnetic moments, and decay width rate for double heavy baryons are calculated. A comparison is presented with other works. The present potential with the used method gives good results in comparison with experimental data and other works.

الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_________::403edd79d560862fe6edbfd03c1cd570Test
https://doi.org/10.1134/s154747712103002xTest

المؤلفون: M. V. Melikian, A. A. Lykov, Vadim Malyshev

المصدر: Moscow University Mechanics Bulletin. 76:88-93

مصطلحات موضوعية: Physics, Quadratic equation, Mechanics of Materials, Mechanical Engineering, Linear system, Mathematical analysis, Particle, Uniform boundedness, Harmonic (mathematics), Point (geometry), Resonance (particle physics), Energy (signal processing)

الوصف: We consider a system of many point particles with arbitrary quadratic interaction and a harmonic force acting on a single fixed particle. Necessary and sufficient conditions for resonance and uniform boundedness of trajectories are obtained; and for the case of resonance the late time asymptotics for energy maximum of the system is obtained as well.

الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_________::76f5904fc3ce190d9ca9949ec9145e1aTest
https://doi.org/10.3103/s0027133021030043Test

المؤلفون: Muhammad Tariq, Saad Ihsan Butt

المصدر: Open Journal of Mathematical Sciences, Vol 5, Iss 1, Pp 200-208 (2021)

مصطلحات موضوعية: Pure mathematics, Chemistry, hermite-hadamard inequality, hölder’s inequality, harmonic convex functions, harmonic s -type convex function, QA1-939, Harmonic (mathematics), Type (model theory), Convex function, Mathematics

الوصف: In this paper, we aim to introduce a new notion of convex functions namely the harmonic \(s\)-type convex functions. The refinements of Ostrowski type inequality are investigated which are the generalized and extended variants of the previously known results for harmonic convex functions.

الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a3a5f79922eada227ea8d58bf29519cTest
https://pisrt.org/psr-press/journals/oms-vol-5-2021/some-ostrowski-type-integral-inequalities-via-generalizedTest-harmonic-convex-functions/

المؤلفون: B. M. Darinskii, D. S. Saiko, A. V. Loboda

المصدر: Russian Mathematics. 65:13-20

مصطلحات موضوعية: Unit sphere, symbols.namesake, General Mathematics, Euler's formula, symbols, Harmonic (mathematics), Harmonic polynomial, Type (model theory), Constant (mathematics), Topology, Complex quadratic polynomial, Square (algebra), Mathematics

الوصف: In this paper, we study geometric and topological properties of harmonic homogeneous polynomials. Based on the study of zero-level lines of such polynomials on the unit sphere, we introduce the notion of their topological type. We describe topological types of harmonic polynomials up to the third degree inclusive. In the case of complex-valued harmonic polynomials, we consider distributions of their critical points in those regions on the sphere, where their real and imaginary parts have constant signs. We demonstrate that when passing from real to complex polynomials, the number of such regions increases and the maximal values of the square of the modulus of the harmonic polynomial decrease. Using the Euler formula, we make certain conclusions about the number of critical points of functions under consideration.

الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_________::ae0a81069fe2992f7dfe24a117b462a1Test
https://doi.org/10.3103/s1066369x21050042Test

المؤلفون: E. M. Novikova

المصدر: Mathematical Notes. 109:777-793

مصطلحات موضوعية: Polynomial, General Mathematics, Quantum mechanics, Resonance, Harmonic (mathematics), Penning trap, Quantum, Harmonic oscillator, Hamiltonian (control theory), Symmetry (physics), Mathematics

الوصف: For the perturbed Hamiltonian of a multifrequency resonance harmonic oscillator, a new approach to calculating the coefficients in the procedure of quantum averaging is proposed. The procedure of quantum averaging is transferred to the space of the graded algebra of symbols by using twisted product introduced in the paper. As a result, the averaged Hamiltonian is represented as a function of generators of the quantum symmetry algebra of the harmonic part of the Hamiltonian. The proposed method is applied to the spectral problem for the Hamiltonian of the cylindrical Penning trap.

الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_________::67676e5b957dcecb645db1c4fe2c3511Test
https://doi.org/10.1134/s0001434621050102Test

المؤلفون: Shuang Liu, You-Qi Tang, Ling Chen

المصدر: Applied Mathematical Modelling. 93:885-897

مصطلحات موضوعية: Timoshenko beam theory, Physics, Applied Mathematics, Mathematical analysis, Harmonic (mathematics), 02 engineering and technology, 01 natural sciences, symbols.namesake, 020303 mechanical engineering & transports, 0203 mechanical engineering, Modeling and Simulation, 0103 physical sciences, Scale analysis (mathematics), Time derivative, symbols, Hamilton's principle, Boundary value problem, Galerkin method, Axial symmetry, 010301 acoustics

الوصف: Axially moving structures are applied extensively in many engineering equipments. In this paper, the parametric stability of an axially accelerating viscoelastic Timoshenko beam is analytically and numerically investigated. On account of the axial tension fluctuation, the relationship between the time dependent tension and the axial speed is introduced emphatically. The axial tension of the system is assumed as a harmonic variation over a constant initial tension. On the basis of the generalized Hamilton principle, a novel coupled dynamic model with the linear partial-differential equations and the corresponding boundary conditions are established. The material time derivative is employed to reveal the viscoelastic characteristic by the Kelvin-Voigt energy dissipation mechanism. The method of multiple scale is applied to analyze the governing equations. The instability boundaries of the moving beam are obtained according to the solvability condition and the Routh-Hurwitz criterion. The display expression of the instability boundary is given. The effects of some system parameters on the resonance instability region of the first two harmonic parameters are displayed. The stability of The Timoshenko Beam is first compared by two different methods. The dependence of the stability on the truncation order of Galerkin method is highlighted.

الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_________::b9d73e888b73106cbc6f3687e5d41933Test
https://doi.org/10.1016/j.apm.2020.12.039Test

المؤلفون: D. V. Kozoriz, Alexandr Vasil'evich Loboda, B. M. Darinskii

المصدر: Mathematical Notes. 109:896-908

مصطلحات موضوعية: Pure mathematics, Polynomial, Hypersurface, Dimension (vector space), General Mathematics, Isotropy, Holomorphic function, Harmonic (mathematics), Invariant (mathematics), Unitary state, Mathematics

الوصف: Unitary transformations and canonical representatives of a family of real-valued harmonic fourth-degree polynomials in three complex variables are studied. The subject relates to the study of Moser normal equations for real hypersurfaces of four-dimensional complex spaces and isotropy groups (holomorphic stabilizers) of such surfaces. The dimension of the stabilizer for a particular strictly pseudo-convex hypersurface is estimated from above by the dimension of a unitary subgroup preserving the fourth-degree polynomial from its normal equation.

الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_________::87e89b58ec1757f08de5f95048e6066dTest
https://doi.org/10.1134/s0001434621050230Test